Question

At Jefferson Middle School, 12% of the students play volleyball and 5% of the students play volleyball and basketball. What is the probability that a student plays basketball given that he or she plays volleyball? A. 41.7% B. 24% C. 0.6% D. 6%

Answer 1

The right answer will be A. 41.7% -APEX :)

Answer 2

Answer: A. 41.7%

Explanation:

Let V denote the event of students play volley ball and B denote the event students play Basketball.

Given : The probability of students play volleyball P(V)= 12% = 0.12

The probability of students play volleyball and basketball P(V∩B)= 5% = 0.05

Now, the probability that a student plays basketball given that he or she plays volleyball is given by :-

`\text{P(BlV)}=(P(V\cap B))/(P(V))\\\\=(0.05)/(0.12)=0.416666666667\approx0.417`

In percent,

`\text{P(B l V)}=0.417*100=41.7\%`